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If P(n ,5): P(n ,3)=2:1 find n...

If `P(n ,5): P(n ,3)=2:1` find n

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To solve the problem where \( P(n, 5) : P(n, 3) = 2 : 1 \), we can follow these steps: ### Step 1: Write the formula for permutations The formula for permutations is given by: \[ P(n, r) = \frac{n!}{(n-r)!} \] So, we can express \( P(n, 5) \) and \( P(n, 3) \) as: ...
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RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. If P(n-1,\ 3): P(n ,4)=1:9 find n

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  2. If ""^(2n-1)P(n): ""^(2n+1)P(n-1)=22:7, find n.

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  3. If P(n ,5): P(n ,3)=2:1 find n

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  4. Prove that: P(1,1)+2. P(2,2)+3. P(3,3)++ndotP(n , n)=P(n+1,\ n+1)-1.

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  5. In how many ways can five children stand in a queue?

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  6. From among the 36 teachers in a school, one principal and one vice ...

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  7. Four letters E, K, S an V, one in each, were purchased from a plastic ...

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  8. Four books, one each in Chemistry, Physics, Biology and Mathematics, ...

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  9. Find the number of different 4-leter words, with or without meaning, ...

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  10. How many 3 digit numbers are there, with distinct digits, with each ...

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  11. How many words, with or without meaning, can be formed by using all th...

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  12. There are two works each of 3 volumes and two works each of 2 volumes;...

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  13. There are 6 items in column A and 6 items in column B. A student is ...

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  14. How many three digit numbers are there, with no digit repeated.

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  15. How many 6-digit telephone numbers  can be constructed with digits ...

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  16. In how many ways can 6 boys and 5 girls be arranged for a group photog...

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  17. How many 3-digit even numbers can be made using the digits 1,2,3,4,...

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  18. How many 3-digit numbers can be formed by using the digits 1 to 9 if n...

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  19. Find the numbers of 4-digit numbers that can be formed using the di...

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  20. How many words can be formed form the letters of the word DAUGHTER so ...

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